What are the factors PLEASE HELP!!!

In a particular region there is a uniform current density of 18 a/m2 in the positive z direction. what is the value of line inte

Ugo [173]

By Stokes' theorem, the integral is 0. If $R$ is the triangular region bounded by the given line segments composing the curve $C$ , then

$\displaystyle\int_{\partial R}\mathbf b\cdot\mathrm d\mathbf s=\iint_R\nabla\times\mathrm d\mathbf r$

where $\nabla\times F=\mathrm{curl}(0,0,18)=0$ .

Just to verify this, we can parameterize the path by

$C=C_1\cup C_2\cup C_3$
$\begin{cases}C_1:=\{(4d,3dt,0)~|~0\le t\le1\}\\C_2:=\{(4d(1-t),3d(1-t),0)~|~0\le t\le1\}\\C_3:=\{(4dt,0,0)~|~0\le t\le1\}\end{cases}$

$\displaystyle\int_C\mathbf b\cdot\mathrm d\mathbf s$
$=\displaystyle\int_0^1(0,0,18)\cdot(0,3d,0)\,\mathrm dt+\int_0^1(0,0,18)\cdot(-4d,-3d,0)\,\mathrm dt+\int_0^1(0,0,18)\cdot(4d,0,0)\,\mathrm dt$
$=0+0+0=0$

7 0

3 years ago

I'M BEGGING YOU PLEASE.

Bogdan [553]

You can find this question answered here! brainly.com/question/1435378

3 0

4 years ago

Jade used candle molds, as shown, to make candles that were perfect cylinders and spheres:

Fittoniya [83]

Answer:

The difference in the amount of wax needed is 84.78 in³ (84.78 cubic inches)

Step-by-step explanation:

Given

Cylinder

Radius = 3 inches

Height = 7 inches

Sphere

Radius = 3 inches

Required

The difference in the amount of wax needed to make a candle from each of these molds

The quantity or amount required to make a wax of candle from each molds can be calculated by getting the volume of both molds

The volume of a cylinder is calculated using

V₁ = πr²h

where r and h are the radius and the height of the cylinder, respectively.

r = 3 in and h = 7 in

The volume of a sphere is calculated using

$V_{2} = \frac{4}{3}\pi r^3$

where r is the radius of the sphere

r = 3 in

Calculating V₁

V₁ = πr²h

V₁ = π * 3² * 7

V₁ = π * 9 * 7

V₁ = π * 63

V₁ = 63π

Calculating V₂

$V_{2} = \frac{4}{3}\pi r^3$

$V_{2} = \frac{4}{3} * \pi * 3^3$

$V_{2} = \frac{4}{3} * \pi * 27$

$V_{2} = \frac{108}{3} * \pi$

V₂ = 36π

Having calculated the volume of each molds, the difference in the amount of wax needed can then be calculated.

Difference = V₁ - V₂

Substituting 63π for V₁ and 36π for V₂

Difference = 63π - 36π

Difference = 27π

(Taking π = 3.14)

Difference = 27 * 3.14

Difference = 84.78

Hence, difference in the amount of wax needed is 84.78 in³

8 0

3 years ago

Read 2 more answers

(12) - (23 +131) = Express your answer in the form (a + bi),

4vir4ik [10]

Answer:

-142

Step-by-step explanation:

First solve parenthesis,

(12) - (23 +131) =

(12) -154

Finally subtract,

12-154

= -142

5 0

3 years ago

Explain the process for finding the product of two integers

mafiozo [28]

Rule 1: The product of a positive integer and a negative integer is a negative integer. Rule 2: The product of two negative integers or two positive integers is a positive integer

4 0

3 years ago